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41550080 = 2851113227
BaseRepresentation
bin1001111010000…
…0000100000000
32220011221222212
42132200010000
541114100310
64042321252
71013112155
oct236400400
986157885
1041550080
11214aa210
1211ab9228
1387ba260
14573822c
1539ab205
hex27a0100

41550080 has 144 divisors (see below), whose sum is σ = 117440064. Its totient is φ = 13885440.

The previous prime is 41550079. The next prime is 41550107. The reversal of 41550080 is 8005514.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182927 + ... + 183153.

It is an arithmetic number, because the mean of its divisors is an integer number (815556).

Almost surely, 241550080 is an apocalyptic number.

41550080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41550080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58720032).

41550080 is an abundant number, since it is smaller than the sum of its proper divisors (75889984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41550080 is a wasteful number, since it uses less digits than its factorization.

41550080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 41550080 is about 6445.9351532574. The cubic root of 41550080 is about 346.3569884032.

Adding to 41550080 its reverse (8005514), we get a palindrome (49555594).

The spelling of 41550080 in words is "forty-one million, five hundred fifty thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 227 256 260 286 320 352 416 440 454 520 572 640 704 715 832 880 908 1040 1135 1144 1280 1408 1430 1664 1760 1816 2080 2270 2288 2497 2816 2860 2951 3328 3520 3632 4160 4540 4576 4994 5720 5902 7040 7264 8320 9080 9152 9988 11440 11804 12485 14080 14528 14755 16640 18160 18304 19976 22880 23608 24970 29056 29510 32461 36320 36608 39952 45760 47216 49940 58112 59020 64922 72640 79904 91520 94432 99880 118040 129844 145280 159808 162305 183040 188864 199760 236080 259688 290560 319616 324610 377728 399520 472160 519376 639232 649220 755456 799040 944320 1038752 1298440 1598080 1888640 2077504 2596880 3196160 3777280 4155008 5193760 8310016 10387520 20775040 41550080